Landscape Boolean functions
MetadataShow full item record
In this paper we define a class of generalized Boolean functions defined on Fn2 with values in Zq (we consider q = 2k, k ≥ 1, here), which we call landscape functions (whose class contains generalized bent, semibent, and plateaued) and find their complete characterization in terms of their Boolean components. In particular, we show that the previously published characteri- zations of generalized plateaued Boolean functions (which includes generalized bent and semibent) are in fact particular cases of this more general setting. Furthermore, we provide an inductive construction of landscape functions, hav- ing any number of nonzero Walsh-Hadamard coefficients. We also completely characterize generalized plateaued functions in terms of the second derivatives and fourth moments.
Showing items related by title, author, creator and subject.
Correlation immunity, avalanche features, and other cryptographic properties of generalized Boolean functions Martinsen, Thor (Monterey, California: Naval Postgraduate School, 2017-09);This dissertation investigates correlation immunity, avalanche features, and the bent cryptographic properties for generalized Boolean functions defined on Vn with values in Zԛ. We extend the concept of correlation immunity ...
Stănică, Pantelimon; Martinsen, Thor; Gangopadhyay, Sugata; Singh, Brajesh Kumar (2012-02);In this paper, we investigate the properties of generalized bent functions defined on Zn2 with values in Zq, where q ≥ 2 is any positive integer. We characterize the class of generalized bent functions symmetric with respect ...
Stănică, Pantelimon; Gaangopadhyay, Sugata; Singh, Brajesh Kumar (2012);In this paper we investigate the properties of generalized bent functions defined on Zn/2 with values in Zq wherre q>2 is any positive integer. We characterize the class of generalized bent functions symmetric with respect ...